Here is the full list of all 24 The Light Brigade achievements.
Defeat the second boss.
Spend 1,000 gold at a store.
Have a hypnotized enemy kill another enemy.
Kill an enemy bomber using a grenade.
Defeat the first boss.
Rescue an ally Light Brigade soldier out on a run.
Reload 100 times. (accumulated)
Land 250 gunshots. (accumulated)
Die and be revived for the first time.
Travel 1,000 meters. (accumulated)
Use an enemy's dropped weapon to kill another enemy.
After death, find your ghost and pray to it.
Pray to the Mother.
Finish your first run, start to finish.
Land 250 headshots. (accumulated)
Hold onto 1,000 coins at once during a run.
Try to fire your weapon without first reloading it.
Never miss a shot during a fully completed run.
Every single shot during a fully completed run is a headshot.
Use the wishing well.
Kill an enemy sniper from far away.
Kill an enemy priest using magic.
Defeat the Father.
Cock an ally Light Brigade soldier's rifle.